✦ LIBER ✦

Trace identities for solutions of the wave equation with initial data supported in a ball

✍ Scribed by David Finch; Rakesh

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 169 KB
Volume: 28
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.647

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Suppose u is the solution of the initial value problem

Suppose n ≥ 1 is odd, f and g are supported in a ball B with boundary S, and one of f or g is zero. We derive identities relating the norm of f or g to the norm of the trace of u on S × [0,∞) . These identities are derived using integral geometric and multiplier methods. Copyright © 2005 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Long-time asymptotics for solutions of t

Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

✍ Percy Deift; Xin Zhou 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 474 KB 👁 2 views

L∞ Stability for Weak Solutions of the N

L∞ Stability for Weak Solutions of the Navier-Stokes Equations in R3 with Singular Initial Data in Morrey Spaces

✍ J. Soler 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 419 KB

Existence of travelling wave solutions f

Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition

✍ Mads Kyed 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB 👁 1 views

## Abstract The existence of travelling wave solutions for the heat equation ∂~__t__~ __u__ –Δ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (∂__u__ /∂__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin